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12011021002002 = 23114373137423179
BaseRepresentation
bin1010111011001000100010…
…1000111110010100010010
31120112020112201001000100210
42232302020220332110102
53033242032334031002
641313441544224550
72346524203666461
oct256621050762422
946466481030323
1012011021002002
113910933257820
12141b99676b156
13691832a8b749
142d749d5989d8
1515c67a75c96c
hexaec88a3e512

12011021002002 has 128 divisors (see below), whose sum is σ = 27381113717760. Its totient is φ = 3480757539840.

The previous prime is 12011021001989. The next prime is 12011021002091. The reversal of 12011021002002 is 20020012011021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28171249 + ... + 28594427.

It is an arithmetic number, because the mean of its divisors is an integer number (213914950920).

Almost surely, 212011021002002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011021002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690556858880).

12011021002002 is an abundant number, since it is smaller than the sum of its proper divisors (15370092715758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12011021002002 is a wasteful number, since it uses less digits than its factorization.

12011021002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423448.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12011021002002 its reverse (20020012011021), we get a palindrome (32031033013023).

It can be divided in two parts, 120110 and 21002002, that added together give a palindrome (21122112).

The spelling of 12011021002002 in words is "twelve trillion, eleven billion, twenty-one million, two thousand, two".

Divisors: 1 2 3 6 11 22 33 43 66 73 86 129 137 146 219 258 274 411 438 473 803 822 946 1419 1507 1606 2409 2838 3014 3139 4521 4818 5891 6278 9042 9417 10001 11782 17673 18834 20002 30003 34529 35346 60006 64801 69058 103587 110011 129602 194403 207174 220022 330033 388806 423179 430043 660066 846358 860086 1269537 1290129 2539074 2580258 4654969 4730473 9309938 9460946 13964907 14191419 18196697 27929814 28382838 30892067 36393394 54590091 57975523 61784134 92676201 109180182 115951046 173926569 185352402 200163667 339812737 347853138 400327334 600491001 637730753 679625474 1019438211 1200982002 1275461506 1328358881 1913192259 2038876422 2492947489 2656717762 3826384518 3985076643 4232213179 4985894978 7478842467 7970153286 8464426358 12696639537 14611947691 14957684934 25393279074 27422422379 29223895382 43835843073 46554344969 54844844758 82267267137 87671686146 93108689938 139663034907 164534534274 181985166697 279326069814 363970333394 545955500091 1091911000182 2001836833667 4003673667334 6005510501001 12011021002002